We look at the division of 11259598 by 972 
Our goal is to divide 11259598 by 972.

Let's proceed to step 1:
If we divide 1 by 972, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 972

Step 2:
If we divide 11 by 972, we get 0 and a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Fetch the next digit (2) from the dividend, attach it to 11 and continue: 112 / 972

Going ahead to step 3:
The number 972 fits into 112 0 times, leaving a remainder of 112.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 112 to get 112.
Append the next digit (5) from the dividend to 112 and continue with: 1125 / 972

Moving on to step 4:
972 can be fit into 1125 1 times, resulting in a remainder of 153.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 153 after subtracting 972 from 1125.
Grab the next digit (9) from the dividend, add it to 153, then carry on: 1539 / 972

Moving on to step 5:
If we divide 1539 by 972, we get 1 and a remainder of 567.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 567 after subtracting 972 from 1539.
Bring next digit (5) of the dividend behind the 567 and repeat the process: 5675 / 972

Moving on to step 6:
If we divide 5675 by 972, we get 5 and a remainder of 815.
Use 5 as the next digit of our solution. 
Result so far: 115.0
Subtracting 4860 from 5675 leaves us with 815.
Bring next digit (9) of the dividend behind the 815 and repeat the process: 8159 / 972

Step 7:
972 can be fit into 8159 8 times, resulting in a remainder of 383.
Use 8 as the next digit of our solution. 
Result so far: 1158.0
If we take 7776 away from 8159, we end up with 383.
Append the next digit (8) from the dividend to 383 and continue with: 3838 / 972

Let's proceed to step 8:
The number 972 fits into 3838 3 times, leaving a remainder of 922.
Record the quotient 3 as the next digit in the result. 
Result so far: 11583.0
Deduct 2916 from 3838 and we're left with 922.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9220, and continue the process.

Advancing to step 9:
9220 divided by 972 is 9 with a remainder of 472.
The number 9 becomes the next digit in our result. 
Result so far: 11583.9
Subtracting 8748 from 9220 leaves us with 472.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4720, and continue the process.

Moving on to step 10:
The number 972 fits into 4720 4 times, leaving a remainder of 832.
Use 4 as the next digit of our solution. 
Result so far: 11583.94
If we subtract 3888 from 4720, we get 832.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8320, and continue the process.

Moving on to step 11:
972 goes into 8320 8 times with a remainder of 544.
The next digit of our result is 8. 
Result so far: 11583.948
If we subtract 7776 from 8320, we get 544.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5440, and continue the process.

Advancing to step 12:
972 can be fit into 5440 5 times, resulting in a remainder of 580.
The number 5 becomes the next digit in our result. 
Result so far: 11583.9485
Subtract 4860 from 5440 to get 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5800, and continue the process.

On to step 13:
When dividing 5800 by 972, we get 5 with a remainder of 940.
Use 5 as the next digit of our solution. 
Result so far: 11583.94855
If we subtract 4860 from 5800, we get 940.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9400, and continue the process.

The final outcome is 11583.94855, with a leftover of 0.00094.